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Finding the Third Proportional to 37,074.38 and 57,454.88

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Solution

The third proportional to 37,074.38 and 57,454.88 is: 89,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,074.38 : 57,454.88 = 57,454.88 : x
  2. Step 2: Convert to fraction form
    37,074.38/57,454.88 = 57,454.88/x
  3. Step 3: Cross multiply
    37,074.38x = 57,454.88 × 57,454.88
  4. Step 4: Simplify right side
    37,074.38x = 3,301,062,661.27
  5. Step 5: Solve for x
    x = 3,301,062,661.27/37,074.38
  6. Step 6: Final answer
    x = 89,038.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.